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# First to Fifteen

Best Answer CaptainEd, 30 January 2013 - 05:06 PM

Spoiler for I would like to draw a good picture
Go to the full post

19 replies to this topic

### #11 Prime

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Posted 29 January 2013 - 06:26 PM

Nine white poker chips have the numbers 1, 2, 3, ..., 8, 9 written on them, one number on each chip. You and a friend alternately select a chip, with the aim of being the first to draw three numbers that sum to 15. You may play first or second. Do you have a winning strategy?

Here's a winning strategy

Spoiler for

In this example, doesn't 2nd player win on his 3rd move having (2,7,6)?

Edited by Prime, 29 January 2013 - 06:27 PM.

• 0

Past prime, actually.

### #12 bushindo

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Posted 29 January 2013 - 06:28 PM

Nine white poker chips have the numbers 1, 2, 3, ..., 8, 9 written on them, one number on each chip. You and a friend alternately select a chip, with the aim of being the first to draw three numbers that sum to 15. You may play first or second. Do you have a winning strategy?

Here's a winning strategy

Spoiler for

In this example, doesn't 2nd player win on his 3rd move having (2,7,6)?

Shucks, back to the drawing board.

• 0

### #13 CaptainEd

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Posted 29 January 2013 - 10:05 PM

Yes, now you guys have made it pretty clear

Spoiler for Funny 3-D tic tac toe

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### #14 Prime

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Posted 29 January 2013 - 10:11 PM

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Past prime, actually.

### #15 bonanova

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Posted 30 January 2013 - 04:07 PM

Yes, now you guys have made it pretty clear

Spoiler for Funny 3-D tic tac toe

This is correct.

Can you draw a picture?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #16 CaptainEd

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Posted 30 January 2013 - 05:06 PM   Best Answer

Spoiler for I would like to draw a good picture

Edited by bonanova, 30 January 2013 - 05:16 PM.

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### #17 bonanova

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Posted 30 January 2013 - 05:10 PM

Great. You win.

But what I really meant was can you draw a magic 3x3 picture?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #18 CaptainEd

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Posted 30 January 2013 - 05:14 PM

Great. You win.

But what I really meant was can you draw a magic 3x3 picture?

Oh, woops! Uh, no...especially on a day when I can't even code a spoiler

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### #19 bonanova

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Posted 30 January 2013 - 06:30 PM

8 1 6
3 5 7
4 9 2

Does that help?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #20 CaptainEd

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Posted 30 January 2013 - 06:42 PM

Rather easy when you put it that way...

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